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Finding the Third Proportional to 14,030 and 29,791

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Solution

The third proportional to 14,030 and 29,791 is: 63,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030 : 29,791 = 29,791 : x
  2. Step 2: Convert to fraction form
    14,030/29,791 = 29,791/x
  3. Step 3: Cross multiply
    14,030x = 29,791 × 29,791
  4. Step 4: Simplify right side
    14,030x = 887,503,681
  5. Step 5: Solve for x
    x = 887,503,681/14,030
  6. Step 6: Final answer
    x = 63,257.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.